31 citations · 49 across the 5 of their papers we have counts for
5 papers
Higher jet prolongation Lie algebras and Backlund transformations for (1+1)-dimensional PDEs
Sergey Igonin
For any (1+1)-dimensional (multicomponent) evolution PDE, we define a sequence of Lie algebras , , which are responsible for all Lax pairs and zero-curvature re…
Infinite-dimensional prolongation Lie algebras and multicomponent Landau-Lifshitz systems associated with higher genus curves
S. Igonin, J. van de Leur, G. Manno +1
The Wahlquist-Estabrook prolongation method constructs for some PDEs a Lie algebra that is responsible for Lax pairs and Backlund transformations of certain type. We present some g…
Generalized Landau-Lifshitz systems and Lie algebras associated with higher genus curves
S. Igonin, J. van de Leur, G. Manno +1
The Wahlquist-Estabrook prolongation method allows to obtain for some PDEs a Lie algebra that is responsible for Lax pairs and Backlund transformations of certain type. We study th…
Miura type transformations and homogeneous spaces
Sergey Igonin
We relate Miura type transformations (MTs) over an evolution system to its zero-curvature representations with values in Lie algebras g. We prove that certain homogeneous spaces of…
Coverings and fundamental algebras for partial differential equations
Sergey Igonin
Following I. S. Krasilshchik and A. M. Vinogradov, we regard PDEs as infinite-dimensional manifolds with involutive distributions and consider their special morphisms called differ…